Asatellite orbits the earth in a circular orbit of radius r. at some point its rocket engine is fired in such a way that its speed increases rapidly by a small amount. as a result, do the apogee distance increase, decrease, or stay the same? as a result, do the perigee distance increase, decrease, or stay the same?

When the rocket engine of a satellite orbiting the earth is fired in such a way that its speed increases rapidly by a small amount, we can say that;

- The Apogee distance will Increase

- The perigee distance will remain the same

To answer this question, let us define apogee and perigee.

Furthermore, that at some point, its' rocket engine is fired in such a way that its' speed increases rapidly by a small amount.

In conclusion, we can say that the Perigee distance will remain the same while the Apogee distance will keep increasing.

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Increases

Stay the same

Explanation:

The shape of orbit changes from circular to elliptical when rocket is fired as the speed of rocket increases. Therefore, the apogee distance keeps increasing as speed of rocket increases while the perigee distance remains constant.

think its the third option

where are the vectors ?